Perfect k-domination in graphs

被引：0
|
作者：
Chaluvaraju, B. [1 ]
Chellali, M. [2 ]
Vidya, K. A. [1 ]
机构：
[1] Bangalore Univ, Cent Coll Campus, Dept Math, Bangalore 560001, Karnataka, India
[2] Univ Blida, Dept Math, LAMDA RO Lab, Blida, Algeria
来源：
AUSTRALASIAN JOURNAL OF COMBINATORICS | 2010年 / 48卷
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let k be a positive integer. A vertex subset D of a graph G - (V, E) is a perfect k-dominating set of G if every vertex v of G, not in D, is adjacent to exactly k vertices of D. The minimum cardinality of a perfect k-dominating set of G is the perfect k-domination number gamma(kp)(G). In this paper, we generalize perfect domination to perfect k-domination, where many bounds of gamma(kp)( G) are obtained. We prove that the perfect k-domination problem is NP-complete for general graphs.
引用
收藏
页码：175 / 184
页数：10
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